{"as_of":"2026-08-07T00:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:37ec1e31436e28c75a46a33806dd77d88376d2573e86fbf15f33d32f18182ad2","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-06T06:34:29.942622+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T06:07:17.204751Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1109.5684","last_updated":"2013-10-03T13:02:07Z","snapshot_observed_at":"2026-08-05T17:26:44.616337Z","submitted_at":"2011-09-26T19:45:31Z","title":"Mean field conditions for coalescing random walks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1109.5684","snapshot_observed_at":"2026-08-02T06:07:17.204751Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.13183","last_updated":"2026-07-14T18:35:37Z","snapshot_observed_at":"2026-08-02T06:07:12.839340Z","submitted_at":"2026-07-14T18:35:37Z","title":"Meeting and coalescence times for random walks in the largest component of the Erd\\H{o}s-R\\'enyi random graph","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-02T06:07:17.204751Z"},"links":{"cited_paper":"/paper/1109.5684","citing_paper":"/paper/2607.13183"},"observation_digest":"sha256:7110e2b19616fe40003722036f49ca8cb4e5526fbadb7d9eebdb0a15905b0656","observation_id":"494e987a-7a8c-426e-a755-e5ef23102d25","resolution":{"observed_at":"2026-08-02T06:07:17.204751Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1109.5684/citation-record","integrity":"/paper/1109.5684/integrity","json":"/paper/1109.5684/citation-record.json","paper":"/paper/1109.5684"},"outbound":[],"paper":{"arxiv_id":"1109.5684","last_updated":"2013-10-03T13:02:07Z","latest_version":3,"primary_category":"math.PR","snapshot_observed_at":"2026-08-05T17:26:44.616337Z","submitted_at":"2011-09-26T19:45:31Z","title":"Mean field conditions for coalescing random walks"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1109.5684."}